Polynomial matrix formulation-based Capon beamformer

Ahmed Alzin, Fraser K. Coutts, Jamie Corr, Stephan Weiss, Ian K. Proudler, Jonathon A. Chambers

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Abstract

This paper demonstrates the ease with which broadband array problems can be generalised from their well-known, straightforward narrowband equivalents when using polynomial matrix formulations. This is here exemplified for the Capon beamformer, which presents a solution to the minimum variance distortionless response problem. Based on the space-time covariance matrix of the array and the definition of a broadband steering vector, we formulate a polynomial MVDR problem. Results from its solution in the polynomial matrix domain are presented.
Original languageEnglish
Title of host publication11th IMA International Conference on Mathematics in Signal Processing
Place of PublicationSouthend-on-Sea
Number of pages4
Publication statusPublished - 12 Dec 2016
Event11th IMA International Conference on Mathematics in Signal Processing - IET Austin Court, Birmingham, United Kingdom
Duration: 12 Dec 201614 Dec 2016
http://www.ima.org.uk/conferences/conferences_calendar/11th_maths_in_signal_processing.html

Conference

Conference11th IMA International Conference on Mathematics in Signal Processing
CountryUnited Kingdom
CityBirmingham
Period12/12/1614/12/16
Internet address

Keywords

  • broadband array problems
  • narrowband
  • polynomial matrix formulations
  • Capon beamformer
  • minimum variance distortionless response
  • space-time covariance matrices
  • steering vector
  • tap-delay-line processors

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    Cite this

    Alzin, A., Coutts, F. K., Corr, J., Weiss, S., Proudler, I. K., & Chambers, J. A. (2016). Polynomial matrix formulation-based Capon beamformer. In 11th IMA International Conference on Mathematics in Signal Processing Southend-on-Sea.